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Block and Göttsche have defined a q-number refinement of counts of tropical curves in $$\mathbb {R}^2$$R2. Under the change of variables $$q=e^{iu}$$q=eiu, we show that the result is a generating… Click to show full abstract
Block and Göttsche have defined a q-number refinement of counts of tropical curves in $$\mathbb {R}^2$$R2. Under the change of variables $$q=e^{iu}$$q=eiu, we show that the result is a generating series of higher genus log Gromov–Witten invariants with insertion of a lambda class. This gives a geometric interpretation of the Block-Göttsche invariants and makes their deformation invariance manifest.
Keywords:
genera lambda;
counting higher;
tropical refined;
curve counting;
refined curve;
higher genera
Journal Title: Inventiones Mathematicae
Year Published: 2019
Link to full text (if available)
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Journal Title: Inventiones Mathematicae
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!